From d177c1a82ea2e1b075ec31b253f507dc61577186 Mon Sep 17 00:00:00 2001
From: Disha Thakurata <146114938+dishathakurata@users.noreply.github.com>
Date: Wed, 24 Apr 2024 21:35:20 +0530
Subject: [PATCH] Create Paths to reach origin

---
 Paths to reach origin | 53 +++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 53 insertions(+)
 create mode 100644 Paths to reach origin

diff --git a/Paths to reach origin b/Paths to reach origin
new file mode 100644
index 0000000..353506a
--- /dev/null
+++ b/Paths to reach origin	
@@ -0,0 +1,53 @@
+//Paths to reach origin
+
+import java.io.*;
+import java.util.*;
+
+class Solution {
+    static int mod = 1000000007;
+    
+    static int help(int x, int y, int dp[][]) {
+        if(x == 0 && y == 0) {
+            return 1;
+        }
+        
+        if(x < 0 || y < 0) {
+            return 0;
+        }
+        
+        if(dp[x][y] != -1) {
+            return dp[x][y];
+        }
+        
+        int a = help(x - 1, y, dp);
+        int b = help(x, y - 1, dp);
+        
+        return dp[x][y] = (a + b) % mod;
+    }
+    
+    public static int ways(int n, int m) {
+        int dp[][] = new int[n + 1][m + 1];
+        
+        for(int temp[] : dp) {
+            Arrays.fill(temp, -1);
+        }
+        
+        return help(n, m, dp);
+    }
+}
+
+class Array {
+	public static void main (String[] args) throws IOException {
+		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
+		int testcases = Integer.parseInt(br.readLine());
+
+		while(testcases-- > 0){
+		    String line = br.readLine();
+		    String[] elements = line.trim().split("\\s+");
+		    int x = Integer.parseInt(elements[0]);
+		    int y = Integer.parseInt(elements[1]);
+		    Solution ob = new Solution();
+		    System.out.println(ob.ways(x,y));
+		}
+	}
+}